Question

Light in the air is incident at an angle to a surface of (12.0 + A) degrees on a piece of glass with an index of refraction of (1.10 + (B/100)). What is the angle between the surface and the light ray once in the glass? Give your answer in degrees and rounded to three significant figures.

A= 6

B= 41

Answer 1

Angle to the surface of air - glass = 12 + A = 12 + 6 = 18 degrees (Given A=6)

Angle of incidence i = 90 - 18 = 72 degrees

Refractive index of glass = μ = 1.10 + (B/100)=1.1 + (41/100) = 1.51    (Given B=41)

μ = sin i / sin r                   r = angle of refraction = ?

sinr = sini / μ = sin72 / 1.51 = 0. 298

r = sin-1 (0.6298) = 39 degrees

Angle between surface and light ray once in the glass = 90 - 39 = 51 degrees